Question

8-27a cube-36a+54a square
Factorise

Answer 1

27a3+54a2+36a+8

Final result :

(3a + 2)3
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a2" was replaced by "a^2". 1 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((27 • (a3)) + (2•33a2)) + 36a) + 8
Step 2 :

Equation at the end of step 2 :

((33a3 + (2•33a2)) + 36a) + 8
Step 3 :

Checking for a perfect cube :

3.1 Factoring: 27a3+54a2+36a+8
.

27a3+54a2+36a+8 is a perfect cube which means it is the cube of another polynomial

In our case, the cubic root of 27a3+54a2+36a+8 is 3a+2

Factorization is (3a+2)3

Answer 2

Step-by-step explanation:

8 -27a³ -36a +54a²

=(2)³ -(3a)³ - 3×2×3a(2-3a)

=(2)³-(3a)³-18a(2-3a)

=(2-3a)³